3669542400 has 120 divisors (see below), whose sum is σ = 12122230824. Its totient is φ = 978534400.

The previous prime is 3669542369. The next prime is 3669542431. The reversal of 3669542400 is 42459663.

It is an interprime number because it is at equal distance from previous prime (3669542369) and next prime (3669542431).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9381 + ... + 86180.

Almost surely, 2^3669542400 is an apocalyptic number.

3669542400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3669542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6061115412).

3669542400 is an abundant number, since it is smaller than the sum of its proper divisors (8452688424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3669542400 is an equidigital number, since it uses as much as digits as its factorization.

3669542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95592 (or 95571 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The square root of 3669542400 is about 60576.7480143991. The cubic root of 3669542400 is about 1542.4246955752.

The spelling of 3669542400 in words is "three billion, six hundred sixty-nine million, five hundred forty-two thousand, four hundred".